Quantitative representation of the upper surface of the human head

SummaryA three dimensional digitizer was used to locate 62 positions on an electrode cap placed on the heads of nine subjects. Nonlinear regression methods were used to obtain the best fit sphere, ellipsoid, and perturbed ellipsoid. RMS errors varied from approximately 1 cm to 2 mm, depending on subject and surface chosen. The spherical coordinates of the standard 10/20 electrodes on best fit spheres were obtained. A method to estimate ellipsoid axes using only three standard EEG head dimensions with an ordinary tape measure is derived from the data. The results have at least two potential applications: the forward/inverse problem in EEG and MEG, and the estimation of surface Laplacians from EEG data.

[1]  Olivier Bertrand,et al.  Scalp Current Density Mapping: Value and Estimation from Potential Data , 1987, IEEE Transactions on Biomedical Engineering.

[2]  Paul L. Nunez,et al.  Physical principles and neurophysiological mechanisms underlying event-related potentials. , 1990 .

[3]  B. Neil Cuffin,et al.  Magnetic Fields of a Dipole in Special Volume Conductor Shapes , 1977, IEEE Transactions on Biomedical Engineering.

[4]  F. Perrin,et al.  Spherical splines for scalp potential and current density mapping. , 1989, Electroencephalography and clinical neurophysiology.

[5]  G C YEH,et al.  THE POTENTIAL OF A GENERAL DIPOLE IN A HOMOGENEOUS CONDUCTING PROLATE SPHEROID , 1957, Annals of the New York Academy of Sciences.

[6]  B. Hjorth An on-line transformation of EEG scalp potentials into orthogonal source derivations. , 1975, Electroencephalography and clinical neurophysiology.

[7]  P. Morse,et al.  Methods of theoretical physics , 1955 .

[8]  M. Scherg,et al.  Evoked dipole source potentials of the human auditory cortex. , 1986, Electroencephalography and clinical neurophysiology.

[9]  D. Cohen,et al.  Comparison of the magnetoencephalogram and electroencephalogram. , 1979, Electroencephalography and clinical neurophysiology.

[10]  Parry Moon,et al.  Field Theory Handbook , 1961 .

[11]  P. Nunez,et al.  The brain's magnetic field: some effects of multiple sources on localization methods. , 1986, Electroencephalography and clinical neurophysiology.

[12]  P. Nunez Estimation of large scale neocortical source activity with EEG surface Laplacians , 2005, Brain Topography.

[13]  D. H. Fender,et al.  A Method for Locating Scalp Electrodes in Spherical Coordinates , 1981, IEEE Transactions on Biomedical Engineering.

[14]  B.N. Cuffin,et al.  Effects of head shape on EEGs and MEGs , 1990, IEEE Transactions on Biomedical Engineering.

[15]  R. Hari,et al.  Spatial resolution of neuromagnetic records: theoretical calculations in a spherical model. , 1988, Electroencephalography and clinical neurophysiology.

[16]  J. D. Munck The potential distribution in a layered anisotropic spheroidal volume conductor , 1988 .

[17]  P. Nunez,et al.  Electric fields of the brain , 1981 .

[18]  Riaz A Khan,et al.  SOURCE LOCALIZATION OF BRAIN ELECTRICAL ACTIVITY VIA TIME-FREQUENCY LINEARLY CONSTRAINED MINIMUM VARIANCE METHOD , 2005 .